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Finding the Third Proportional to 10,367,061 and 22,623,629

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Solution

The third proportional to 10,367,061 and 22,623,629 is: 49,370,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,061 : 22,623,629 = 22,623,629 : x
  2. Step 2: Convert to fraction form
    10,367,061/22,623,629 = 22,623,629/x
  3. Step 3: Cross multiply
    10,367,061x = 22,623,629 × 22,623,629
  4. Step 4: Simplify right side
    10,367,061x = 511,828,589,129,641
  5. Step 5: Solve for x
    x = 511,828,589,129,641/10,367,061
  6. Step 6: Final answer
    x = 49,370,654.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.